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GAPLSSNESS. “This excitation lowers the energy thresholds of the higher angular momentum modes, so that the theory delivers a set of the gapless modes with their number scaling as the area of a ‐dimensional sphere.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

INFO STORAGE. “It was shown that a theory of a quantum field inhabiting a d‐dimensional sphere and experiencing an angular‐momentum‐dependent attractive interaction exhibits a sharp enhancement of memory storage capacity in a critical state in which the lowest angular momentum mode is macroscopically excited.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

BLACK HOLES AND BRAINS. “In this paper we shall attempt to take one more step and try to see if a neural network can possess some additional informational characteristics that are usually considered to be the defining properties of black holes, such as the Bekenstein's area law entropy.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

GAPLESS NEURONS. “Instead of storing patterns in the local minima of the energy function, as, for example, in usual treatments of the Hopfield model, the enhanced memory points can be identified among the highly excited critical states, where set of neurons becomes gapless.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

“Other ways of being” was how William Wordsworth described other realities in The Prelude, an impressive poem. View in LinkedIn

A representation of energy fields interacting with the underling invisible grid that the universe is pegged onto. View in LinkedIn

THE IMAGINATIVE LEAP. “Thus, it appears that the neural network – when translated in quantum field theoretic language – can exhibit some intrinsic holographic properties, such as, the emergence of the gapless neurons inhabiting a lower dimensional surface with the resulting micro‐state entropy that scales as the corresponding area. This is something highly reminiscent of gravitational systems, such as, the black holes or the AdS space.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

THE GUTS OF THE MACHINE. “The entropy of the resulting micro‐states depends on the symmetry structure of the network. We show that, when we impose a symmetry group of a d‐dimensional sphere, a set of the gapless neurons emerges with their number equal to an area of a ‐dimensional sphere of the same radius.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

EXPONENTIAL INFO STORAGE. “We observe that such a network exhibits a critical state in which a set of would‐be‐high‐threshold neurons becomes effectively gapless. Correspondingly, in this set of neurons the network can store an exponentially large number of patterns within an arbitrarily narrow energy gap.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn